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3 years ago

Solve the literal equation for x

Mathematics

2 answers:

xeze [42]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

(1)

y = 5x - 7x , that is

y = - 2x ( divide both sides by - 2 )

x = - $\frac{1}{2}$ y

(2)

mx - r = y ( add r to both sides )

mx = y + r ( divide both sides by m )

x = $\frac{y+r}{m}$

(3)

2x + 3y = 10 ( subtract 2x from both sides )

3y = 10 - 2x ( divide both sides by 3 )

y = $\frac{10-2x}{3}$

(4)

5x - 3y = 4 ( subtract 5x from both sides )

- 3y = 4 - 5x ( divide both sides by - 3 )

y = $\frac{4-5x}{-3}$ ( multiply numerator/ denominator by - 1 , to 'tidy up' )

y = $\frac{5x-4}{3}$

hjlf3 years ago

6 0

Answer:

Are this Form 1 question?

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Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

PtichkaEL [24]

Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)

=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.

8 0

3 years ago

How many points need to be removed from this graph

Ganezh [65]

Answer:

Step-by-step explanation:

7 0

2 years ago

Does anybody know how to do time with exponential decay

My name is Ann [436]

<span>From the message you sent me:

when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths

If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function

$b_n=0.12\times b_{n-1}$

Why does this work? Initially, you start with 500 mL of air that you breathe in, so $b_1=500\text{ mL}$ . After the second breath, you have 12% of the original air left in your lungs, or $b_2=0.12\timesb_1=0.12\times500=60\text{ mL}$ . After the third breath, you have $b_3=0.12\timesb_2=0.12\times60=7.2\text{ mL}$ , and so on.

You can find the amount of original air left in your lungs after $n$ breaths by solving for $b_n$ explicitly. This isn't too hard:

$b_n=0.12b_{n-1}=0.12(0.12b_{n-2})=0.12^2b_{n-2}=0.12(0.12b_{n-3})=0.12^3b_{n-3}=\cdots$

and so on. The pattern is such that you arrive at

$b_n=0.12^{n-1}b_1$

and so the amount of air remaining after $50$ breaths is

$b_{50}=0.12^{50-1}b_1=0.12^{49}\times500\approx3.7918\times10^{-43}$

which is a very small number close to zero.</span>

5 0

3 years ago

For your friend's birthday, you have 3 presents to wrap. Find the combined surface area of these 3 gifts so you know how much wr

omeli [17]

The answer is: 5,614 square inches.

The explanation is shown below:

1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:

$SA=2[(l)(w)+(l)(h)+(h)(w)]$